solve the simultaneous equatiion by elimination show all working y=3/4x + 5,, 2x +3y=100

Question

y=3/4x + 5 2x +3y=100

Answer 1

line 1: y=(3/4)x+5 . . . line 2: 2x+3y=100 . . . 2x+3*[(3/4)x+5]=100 . . . 2x +(9/4)x +15=100 . . . (17/4)x=85 . . . x=(4/17)*85=340/17 . . x=20 . . . y=(3/4)x+5=15+5=20

Answer 2

"Solution: Given eliminate y=3/4x + 5......(1)
2x +3y=100 …........(2)
standard form -3/4x+y=5...(1)
2x+3y=100........(2)
multiply (1) by3 and subtract from (2) we get
x=20
substitute x=20 in (2)
y=20"

A set of independent equations in two or more variables is called a simultaneous equation. To find the value(s) of the variables for which the set of equation holds is called solving the equation. There are different methods used to solve simultaneous equations. In this article, we will learn how to solve the Simultaneous Equations by Substitution and Elimination methods with examples.